Localized states beyond the asymptotic parametrically driven amplitude equation

Abstract

We study theoretically a family of localized states which asymptotically connect a uniform oscillatory state in the magnetization of an easy-plane ferromagnetic spin chain when an oscillator magnetic field is applied metrically driven damped pendula chain. The conventional approach to these systems, the parametrically driven damped nonlinear Schrodinger equation, does not account for these states. Adding higher order terms to this model we were able to obtain these localized structures.